(4+v)(5v+2)=0

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Solution for (4+v)(5v+2)=0 equation: 


Simplifying
(4 + v)(5v + 2) = 0

Reorder the terms:
(4 + v)(2 + 5v) = 0

Multiply (4 + v) * (2 + 5v)
(4(2 + 5v) + v(2 + 5v)) = 0
((2 * 4 + 5v * 4) + v(2 + 5v)) = 0
((8 + 20v) + v(2 + 5v)) = 0
(8 + 20v + (2 * v + 5v * v)) = 0
(8 + 20v + (2v + 5v2)) = 0

Combine like terms: 20v + 2v = 22v
(8 + 22v + 5v2) = 0

Solving
8 + 22v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(4 + v)(2 + 5v) = 0


Subproblem 1
Set the factor '(4 + v)' equal to zero and attempt to solve:

Simplifying
4 + v = 0

Solving
4 + v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + v = 0 + -4
v = 0 + -4

Combine like terms: 0 + -4 = -4
v = -4

Simplifying
v = -4

Subproblem 2
Set the factor '(2 + 5v)' equal to zero and attempt to solve:

Simplifying
2 + 5v = 0

Solving
2 + 5v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 5v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5v = 0 + -2
5v = 0 + -2

Combine like terms: 0 + -2 = -2
5v = -2

Divide each side by '5'.
v = -0.4

Simplifying
v = -0.4
Solution
v = {-4, -0.4}

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